We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different “digits” {0,1,…,9}.{0,1,…,9}. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,…,9,A,B,C,D,E,F}.{0,1,…,9,A,B,C,D,E,F}.So for example, a 3 digit hexadecimal number might be 2B8. How many 2-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different “digits” {0,1,…,9}.{0,1,…,9}. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,…,9,A,B,C,D,E,F}.{0,1,…,9,A,B,C,D,E,F}.So for example, a 3 digit hexadecimal number might be 2B8.

How many 2-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)?

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Step 1

Introduction:

 Hexadecimal (also known as base-16) and decimal (also known as base-10) are two different numbering systems used to represent numbers. In the decimal system, numbers are represented using the 10 digits 0 to 9, while in the hexadecimal system, numbers are represented using the 16 digits 0 to 9 and the letters A to F. 

 For example, in decimal, the number 255 can be represented as 2 * 100 + 5 * 10 + 5 * 1, while in hexadecimal, the same number can be represented as FF, where F represents 15 in decimal.

 Hexadecimal is often used in computer science and programming because it is more compact representation of binary data. In a binary system, there are only two digits 0 and 1, so it takes 8 binary digits to represent a single byte of data, whereas it only takes 2 hexadecimal digits. Converting between hexadecimal and decimal is relatively straightforward and can be done by converting each digit to its decimal equivalent and then combining them according to the place value system. 

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